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100 bags of premixed concrete are needed to fill the foundation.

To determine the number of 80-pound bags of premixed concrete required, first calculate the volume of the foundation, which is 6 feet wide, 10 feet long, and 1 foot deep, equating to 60 cubic feet. Since each bag provides approximately 0.6 cubic feet of concrete, dividing the total volume by the volume per bag yields about 100 bags.

A) 136

This option is incorrect as it overestimates the number of bags needed. Dividing the total volume of 60 cubic feet by the volume provided by each bag (0.6 cubic feet) results in 100 bags, not 136.

B) 100

This option is correct because dividing the total volume of the foundation (60 cubic feet) by the volume each bag covers (0.6 cubic feet) indeed equals 100 bags, making it the accurate estimate needed.

C) 50

This option is also incorrect as it underestimates the required number of bags. Using the calculation of 60 cubic feet divided by 0.6 cubic feet per bag results in a need for 100 bags, which means that 50 bags would not be sufficient.

D) 36

This option is incorrect as it significantly underestimates the requirement. Like option C, dividing the total volume by the per-bag volume shows that 36 bags would fall far short of the total needed, confirming that the correct number is much higher.

Conclusion

The calculation clearly indicates that 100 bags are necessary to meet the concrete requirements for the foundation. All other options either overestimate or underestimate the need significantly, reinforcing that 100 is the only viable estimate based on the provided dimensions and bag volume.